Multi-parameter perturbations for the space-periodic heat equation
DOI10.3934/cpaa.2024004arXiv2309.07501MaRDI QIDQ6151790
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino, Riccardo Molinarolo
Publication date: 11 March 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.07501
heat equationNeumann seriesdomain perturbationtransmission problemlayer potentialsshape sensitivity analysisperiodic domainspecial nonlinear operators
Initial-boundary value problems for second-order parabolic equations (35K20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)
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